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The E_7-Eulerian numbers.
4

%I #6 May 14 2016 13:46:17

%S 1,17635,309969,1123915,1123915,309969,17635,1

%N The E_7-Eulerian numbers.

%C a(n) is the number of elements of the Weyl group E_7 that have a descent set of size n.

%C Sum_{n=0..7} a(n) = 2903040, which is the order of the group E_7.

%D T. K. Petersen, Eulerian Numbers, Birkhauser, 2015, Table 11.5.

%Y Cf. A008292, A060187, A066094, A273000.

%K nonn,fini,full

%O 0,2

%A _Tom Edgar_, May 13 2016